# MCQs for Mathematics Class 9 with Answers Chapter 2 Polynomials

Students of Class 9 Mathematics should refer to MCQ Questions Class 9 Mathematics Polynomials with answers provided here which is an important chapter in Class 9 Mathematics NCERT textbook. These MCQ for Class 9 Mathematics with Answers have been prepared based on the latest CBSE and NCERT syllabus and examination guidelines for Class 9 Mathematics. The following MCQs can help you to practice and get better marks in the upcoming Class 9 Mathematics examination

## Chapter 2 Polynomials MCQ with Answers Class 9 Mathematics

MCQ Questions Class 9 Mathematics Polynomials provided below have been prepared by expert teachers of grade 9. These objective questions with solutions are expected to come in the upcoming Standard 9 examinations. Learn the below provided MCQ questions to get better marks in examinations.

Choose the correct answer from the given four options in the following questions:

Question. If x + 1/x = 8, then the value of x2 + 1/x2 is
(a) 62
(b) 64
(c) 66
(d) 60

A

Question. The remainder when p(x) = x3 + 1 is divided by x + 1, is
(a) – 6
(b) 0
(c) 1
(d) 6

B

Question. √2 is a polynomial of degree
(a) 2
(b) 0
(c) 1
(d) 1/2

B

Question. The remainder when x2 + 2x + 1 is divided by x + 1, is
(a) 4
(b) 0
(c) 1
(d) –2

B

Question.Degree of polynomial (x3 – 2) (x2 + 11) is
(a) 0
(b) 5
(c) 3
(d) 2

B

Question. Standard form of the polynomial 1/x-3+x/8+6x5+√3/5 is
(a) x3+x/8+6x5+√3/5
(b) 6x5 + x3 + x/8 + √3/5
(c) 6x5 + √3/5+ x/8 + x3
(d) x3 + 6x5 +√3/5 + x/8

B

Question.The value of k for which the polynomial x3 + 3x2 – 3x + k has – 3 as its zero, is
(a) – 9
(b) – 3
(c) 9
(d) 12

A

Question. x2 + 5x – 1/2 is a
(b) binomial
(c) monomial
(d) cubic polynomial in x

A

Question. The value of p(1/2) for p(z) = z4 – z2 + z is
(a) 7/16
(b) 5/16
(c) 3/16
(d) 1/16

B

Question. A polynomial of degree 5 in x has at most
(a) 5 terms
(b) 10 terms
(c) 6 terms
(d) 4 terms

C

Question. Zero of the polynomial p(x), where p(x) = ax + 1, a ≠ 0 is
(a) 1
(b) – a
(c) 0
(d) −1/a

B

Question. Zeroes of the polynomial p(x) = x (x – 1) (x – 2) are
(a) 0, – 1, 2
(b) 0, – 1, – 2
(c) 0, 1, – 2
(d) 0, 1, 2

D

Question. Which of the following is a zero of the polynomial x3 + 3x2 – 3x – 1?
(a) –1
(b) –2
(c) 1
(d) 2

C

Question. The number to be added to the polynomial x2 – 5x + 4, so that 3 becomes its zero, is
(a) 4
(b) – 4
(c) – 2
(d) 2

D

Question. The number to be subtracted from the polynomial x2 – 16x + 30, so that 15 becomes its zero, is
(a) 15
(b) 16
(c) 30
(d) 0

A

Question. Zeroes of the polynomial p(x) = (x + 2) (x + 5) are
(a) 2, 5
(b) – 2, – 5
(c) 1/2,1/5
(d) -1/2,-1/5

D

Question. A polynomial whose zeroes are √2 and –√2 is
(a) x2 + 2
(b) x – 2
(c) x2 – 2
(d) x + 2

C

Question. If x = 2 is a zero of the polynomial x2 – 2k + 2, then the value of k is
(a) 1
(b) 2
(c) 3
(d) 4

C

Question. (2x+1/3)2 – ( x-1/2)2 in its factorised form is equal to
(a) (x-1/6) (3 x+5/6)
(b) (3x+1/6) (x-5/6)
(c) (x+1/6) (3x-5/6)
(d) (3x-1/6) (x+5/6)

D

Question. The remainder when x51 + 51 is divided by x + 1, is
(a) 51
(b) 50
(c) – 1
(d) 0

B

Question. If p(x) = 2x2 – 3x + 5, then the value of p(0)+p(1)+/p(-1) is
(a) 1/10
(b) 4/11
(c) 9/10
(d) 4/5

C

Question. The remainder when f(x) = x3 + 4x2 – 3x + 1 is divided by x – 2, is
(a) 16
(b) 12
(c) 17
(d) 19

D

Question. The coefficient of x2 in (2x2 – 5) (4 + 3x2) is
(a) 2
(b) 3
(c) 8
(d) –7

D

Question. If x + 1 is a factor of the polynomial 2x2 + kx, then the value of k is
(a) – 2
(b) – 3
(c) 4
(d) 2

D

Question. (x + 1) is a factor of the polynomial
(a) x3 + x2 – x + 1
(b) x3 + x2 + x + 1
(c) x4 + x3 + x2 + 1
(d) x4 + 3x3 + 3x2 + x + 1

B

Question. The common factor in x2 – 1, x4 – 1 and (x – 1)2 is
(a) x – 1
(b) x + 1
(c) x2 – 1
(d) x2 + 1

A

Question. The factorisation of – x2 + 5x – 6 yields
(a) – (x – 2)(3 – x)
(b) – (2 – x) (3 – x)
(c) (x – 2)(x – 3)
(d) (2 + x) (3 – x)

B

Question. Degree of zero polynomial is
(a) 0
(b) any natural number
(c) 1
(d) not defined

D

Question. The expansion of (x + y + z)2 is
(a) x2 + y2 + z2 – 2xy – 2yz – 2zx
(b) x2 + y2 + z2 + 2xy + 2yz + 2zx
(c) x2 + y2 + z2 – xy – yz – zx
(d) x2 + y2 + z2 + xy + yz + zx

B

Question. Which one of the following is a polynomial?
(a) x2/3-2/ x2
(b) x3 + 4x3/2/√x
(c) √3y + 5
(d) x2 -1/ x2 +1

B

Question. The product (x/2)-(3y+x/2)(x2/4+9y2) is equal to
(a) x4/16+81y4
(b) x4/81+16y4
(c) x4/81-16y4
(d) x4/16-81y4

D

Question. 75 × 75 + 2 × 75 × 25 + 25 × 25 in simplified form is equal to
(a) 10000
(b) 6250
(c) 7500
(d) 3750

A

Question. 8.83×8.83-2.17×2.17/666….. in its simplified form is equal to
(a) 9
(b) 10
(c) 11
(d) 12

C

Question. If x + y + z = 0, then x3 + y3 + z3 is equal to
(a) x2 + y2 + z2 + 3xyz
(b) 3xyz
(c) 3x2y2z2
(d) x2 + y2 + z2 – xy – yz – zx

B

Question. If 49x2 – y = (7x+1/2) (7x-1/2) , then the value of y is
(a) 0
(b) 14
(c) 1/√2
(d) 1/2

B

Question. If the area of a rectangle is 4x2 + 4x – 3, then its possible dimensions are
(a) 2x – 3, 2x + 1
(b) 2x – 1, 2x + 3
(c) 3x + 1, 2x – 3
(d) 3x – 1, 2x + 3

B

Question. The factors of 12y2 – y – 6 are
(a) (12y – 1) (y + 6)
(b) (12y + 1) (y – 6)
(c) (3y – 2) (4y + 3)
(d) (3y + 2) (4y – 3)

B

Question. The factors of 1/2-x2/50 are
(a) 1/2(1- x/5)(1-x/5)
(b) 1/2(1/5+x)(1/5-x)
(c) 1/2(1+x/5)(1-x/5)
(d) 1/2(1+ x/5)(1+x/5)

C

Question. The factors of a3 + 27 are
(a) (a + 3) (a2 + 3a + 9)
(b) (a + 3) (a2  – 3a + 9)
(c) (a – 3) (a2  – 3a + 9)
(d) (a – 3) (a2  + 3a + 9)

B

Question.25. If x + a is a factor of x4 – a2x2 + 3x – 6a, then the value of a is
(a) 0
(b) 1
(c) – 1
(d) 2

A

Question.

(a) (√2a − √3b)
(b) (√2a + √3b)
(c) (√3a + √2b)
(c) (√3a − √2b)

B

Question. For the polynomial (x + 2) (x – 2), the values of p(0), p(1), p(– 2) respectively are
(a) 0, 3, – 4
(b) – 1, 0, 3
(c) – 4, – 3, 0
(d) 1, 4, – 3

C

Question. If 2x – 1 is a factor of 8x4 + 4x3 – 16x2 + 10x + a, then the value of a is
(a) – 2
(b) 2
(c) 1
(d) – 1

A

Question. The value of a2 + b2 + c2, if a + b + c = 13 and ab + bc + ca = 27 is
(a) 250
(b) 223
(c) 115
(d) 81

C

Question. The expanded form of (3a – 5b – c)2 is
(a) 9a2 + 25b2 + c2 – 30ab + 10bc – 6ac
(b) 9a2 + 25b2 + c2 + 30ab – 10bc + 6ac
(c) 9a2 + 25b2 + c2 – 30ab – 10bc + 6ac
(d) 9a2 + 25b2 + c2 + 30ab + 10bc – 6ac

A

Question. The product of (x/2+2y)(x2/4-xy+4y2)
(a) x3/6 +6y3
(b) x3/8 +8y3
(c) x3/8 – 8y3
(d)  x3/6 – 6y3

B

Question. Factors of a3 – 2√2 b3 are
(a) (a-√2b)(a2+√2ab+b2)
(b) (a-2√2b)(a2+√2ab+b2)
(c) (a+√2b)(a2-√2ab+2b2)
(d) (a+2√2b)(a2+√2ab+b2)

A

Question. If polynomial x3 – 2mx2 + 16 is divisible by x + 2, then the value of m is
(a) – 2
(b) 2
(c) 1
(d) – 1

C

Question. The expanded form of (x+1/3)3 is
(a) x3 + 1/27+3x2+1/3x
(b) x3 + 1/27+x2++1/3x
(c) x3 + 1/9 + 3x2 + 3x
(d) x3 + 1/27+3x2+1/3x

B

Question. The value of 103 – (5)3 – (5)3 is
(a) 750
(b) 1000
(c) 250
(d) 500

A

Question. The value of p3 – q3 if p – q = – 8, pq = – 12 is
(a) – 244
(b) – 240
(c) – 224
(d) – 260

C

Question. The expansion of (x – y)3 is
(a) x3 + y3 + 3x2y + 3xy2
(b) x3 + y3 – 3x2y + 3xy2
(c) x3 – y3 – 3x2y + 3xy2
(d) x3 – y3 + 3x2y – 3xy2

C

Question. If 9x2 – 30x + k is a perfect square then the value of k is
(a) 25
(b) 5
(c) 36
(d) 81

A

Question. The value of (348)2 – (347)2 is
(a) (1)2
(b) 685
(c) 695
(d) 705

C

Question. If p(x) = x2 – 4x + 3, then the value of p(2) – p(– 1) + p(1/2) is
(a) 31/4
(b) – 31/4
(c) 2/14
(d) – 21/4